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Route Feasibility Testing and Forward Time Slack for the Synchronized Pickup and Delivery Problem

Author

Listed:
  • Timo Gschwind

    (Johannes Gutenberg-Universität Mainz, Germany)

Abstract

The temporal constraints of the Synchronized Pickup and Delivery Problem (SPDP) impose a complex scheduling problem for the service times at the customer locations. This makes the efficient feasibility checking of routes intricate. We present two different route feasibility checks for the SPDP and compare their practical runtime on a huge number of randomly generated routes. Furthermore, we generalize the concept of forward time slack, which has proven a versatile tool for feasibility testing of VRP variants, to the SPDP.

Suggested Citation

  • Timo Gschwind, 2015. "Route Feasibility Testing and Forward Time Slack for the Synchronized Pickup and Delivery Problem," Working Papers 1503, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz, revised 22 May 2015.
    • Handle: RePEc:jgu:wpaper:1503
    as

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    File URL: https://download.uni-mainz.de/RePEc/pdf/Discussion_Paper_1503_v2.pdf
    File Function: Second version, 2015
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    References listed on IDEAS

    as
    1. Cordeau, Jean-François & Laporte, Gilbert, 2003. "A tabu search heuristic for the static multi-vehicle dial-a-ride problem," Transportation Research Part B: Methodological, Elsevier, vol. 37(6), pages 579-594, July.
    2. Martin W. P. Savelsbergh, 1992. "The Vehicle Routing Problem with Time Windows: Minimizing Route Duration," INFORMS Journal on Computing, INFORMS, vol. 4(2), pages 146-154, May.
    3. Jean-François Cordeau & Gilbert Laporte, 2007. "The dial-a-ride problem: models and algorithms," Annals of Operations Research, Springer, vol. 153(1), pages 29-46, September.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Timo Gschwind & Michael Drexl, 2019. "Adaptive Large Neighborhood Search with a Constant-Time Feasibility Test for the Dial-a-Ride Problem," Transportation Science, INFORMS, vol. 53(2), pages 480-491, March.
    2. Yves Molenbruch & Kris Braekers & An Caris, 2017. "Typology and literature review for dial-a-ride problems," Annals of Operations Research, Springer, vol. 259(1), pages 295-325, December.
    3. Gschwind, Timo, 2015. "A comparison of column-generation approaches to the Synchronized Pickup and Delivery Problem," European Journal of Operational Research, Elsevier, vol. 247(1), pages 60-71.
    4. Timo Gschwind & Michael Drexl, 2016. "Adaptive Large Neighborhood Search with a Constant-Time Feasibility Test for the Dial-a-Ride Problem," Working Papers 1624, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.

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    More about this item

    Keywords

    Vehicle routing; Temporal synchronization; Feasibility testing; Forward time slack;
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